TSTP Solution File: CSR150^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : CSR150^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 21:38:54 EDT 2022
% Result : Theorem 1.32s 1.52s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 131 ( 36 unt; 11 typ; 0 def)
% Number of atoms : 956 ( 293 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 1408 ( 138 ~; 226 |; 10 &;1032 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 349 ( 14 ^ 330 !; 5 ?; 349 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_grandchild_THFTYPE_IiioI,type,
grandchild_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_grandparent_THFTYPE_IiioI,type,
grandparent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_lCardinalityFn_THFTYPE_IIioIiI,type,
lCardinalityFn_THFTYPE_IIioIiI: ( $i > $o ) > $i ).
thf(tp_lJohn_THFTYPE_i,type,
lJohn_THFTYPE_i: $i ).
thf(tp_ltet_THFTYPE_IiioI,type,
ltet_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_n3_THFTYPE_i,type,
n3_THFTYPE_i: $i ).
thf(tp_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_sK1_Z,type,
sK1_Z: $i > $i > $i ).
thf(tp_sK2_Z,type,
sK2_Z: $i > $i > $i ).
thf(tp_sK3_E,type,
sK3_E: $i > $i ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( grandchild_THFTYPE_IiioI @ X @ Y )
<=> ? [Z: $i] :
( ( parent_THFTYPE_IiioI @ Z @ X )
& ( parent_THFTYPE_IiioI @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(2,axiom,
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
@ n3_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( grandparent_THFTYPE_IiioI @ X @ Y )
<=> ? [Z: $i] :
( ( parent_THFTYPE_IiioI @ X @ Z )
& ( parent_THFTYPE_IiioI @ Z @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(4,conjecture,
? [Y: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(5,negated_conjecture,
( ( ? [Y: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ~ ? [Y: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [Y: $i] :
~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
( ~ ( parent_THFTYPE_IiioI @ Z @ X )
| ~ ( parent_THFTYPE_IiioI @ Y @ Z ) )
| ( grandchild_THFTYPE_IiioI @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( grandchild_THFTYPE_IiioI @ X @ Y )
| ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ Y @ X ) @ X )
& ( parent_THFTYPE_IiioI @ Y @ ( sK1_Z @ Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(9,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
( ~ ( parent_THFTYPE_IiioI @ X @ Z )
| ~ ( parent_THFTYPE_IiioI @ Z @ Y ) )
| ( grandparent_THFTYPE_IiioI @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( grandparent_THFTYPE_IiioI @ X @ Y )
| ( ( parent_THFTYPE_IiioI @ X @ ( sK2_Z @ Y @ X ) )
& ( parent_THFTYPE_IiioI @ ( sK2_Z @ Y @ X ) @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[3]) ).
thf(10,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
( ~ ( parent_THFTYPE_IiioI @ X @ Z )
| ~ ( parent_THFTYPE_IiioI @ Z @ Y ) )
| ( grandparent_THFTYPE_IiioI @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( grandparent_THFTYPE_IiioI @ X @ Y )
| ( ( parent_THFTYPE_IiioI @ X @ ( sK2_Z @ Y @ X ) )
& ( parent_THFTYPE_IiioI @ ( sK2_Z @ Y @ X ) @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
@ n3_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(12,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
( ~ ( parent_THFTYPE_IiioI @ Z @ X )
| ~ ( parent_THFTYPE_IiioI @ Y @ Z ) )
| ( grandchild_THFTYPE_IiioI @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( grandchild_THFTYPE_IiioI @ X @ Y )
| ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ Y @ X ) @ X )
& ( parent_THFTYPE_IiioI @ Y @ ( sK1_Z @ Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ! [Y: $i] :
~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ Y ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(14,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( parent_THFTYPE_IiioI @ SX2 @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 ) )
| ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ ( sK1_Z @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( parent_THFTYPE_IiioI @ SX0 @ SX2 )
| ~ ( parent_THFTYPE_IiioI @ SX2 @ SX1 ) )
| ( grandparent_THFTYPE_IiioI @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( grandparent_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ SX0 @ ( sK2_Z @ SX1 @ SX0 ) )
| ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SX1 @ SX0 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(16,plain,
! [SV1: $i] :
( ( ~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( parent_THFTYPE_IiioI @ SX2 @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 ) )
| ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ ( sK1_Z @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( parent_THFTYPE_IiioI @ SX0 @ SX2 )
| ~ ( parent_THFTYPE_IiioI @ SX2 @ SX1 ) )
| ( grandparent_THFTYPE_IiioI @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( grandparent_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ SX0 @ ( sK2_Z @ SX1 @ SX0 ) )
| ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: $i] :
( ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
@ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( parent_THFTYPE_IiioI @ SX2 @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 ) )
| ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ ( sK1_Z @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( parent_THFTYPE_IiioI @ SX0 @ SX2 )
| ~ ( parent_THFTYPE_IiioI @ SX2 @ SX1 ) )
| ( grandparent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( grandparent_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ SX0 @ ( sK2_Z @ SX1 @ SX0 ) )
| ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(24,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( parent_THFTYPE_IiioI @ SX2 @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 ) )
| ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( grandchild_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SX1 @ SX0 ) @ SX0 )
| ~ ( parent_THFTYPE_IiioI @ SX1 @ ( sK1_Z @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( parent_THFTYPE_IiioI @ SX0 @ SX2 )
| ~ ( parent_THFTYPE_IiioI @ SX2 @ SX1 ) )
| ( grandparent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( grandparent_THFTYPE_IiioI @ SX0 @ SX1 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ SX0 @ ( sK2_Z @ SX1 @ SX0 ) )
| ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
! [SV2: $i] :
( ( ! [SY1: $i] :
( ! [SY2: $i] :
( ~ ( parent_THFTYPE_IiioI @ SY2 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SY1 @ SY2 ) )
| ( grandchild_THFTYPE_IiioI @ SV2 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV3: $i] :
( ( ! [SY3: $i] :
( ~ ( grandchild_THFTYPE_IiioI @ SV3 @ SY3 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SY3 @ SV3 ) @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SY3 @ ( sK1_Z @ SY3 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV4: $i] :
( ( ! [SY4: $i] :
( ! [SY5: $i] :
( ~ ( parent_THFTYPE_IiioI @ SV4 @ SY5 )
| ~ ( parent_THFTYPE_IiioI @ SY5 @ SY4 ) )
| ( grandparent_THFTYPE_IiioI @ SV4 @ SY4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV5: $i] :
( ( ! [SY6: $i] :
( ~ ( grandparent_THFTYPE_IiioI @ SV5 @ SY6 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK2_Z @ SY6 @ SV5 ) )
| ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SY6 @ SV5 ) @ SY6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV6: $i,SV2: $i] :
( ( ! [SY7: $i] :
( ~ ( parent_THFTYPE_IiioI @ SY7 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY7 ) )
| ( grandchild_THFTYPE_IiioI @ SV2 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV7: $i,SV3: $i] :
( ( ~ ( grandchild_THFTYPE_IiioI @ SV3 @ SV7 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV7 @ SV3 ) @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV7 @ ( sK1_Z @ SV7 @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV8: $i,SV4: $i] :
( ( ! [SY8: $i] :
( ~ ( parent_THFTYPE_IiioI @ SV4 @ SY8 )
| ~ ( parent_THFTYPE_IiioI @ SY8 @ SV8 ) )
| ( grandparent_THFTYPE_IiioI @ SV4 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV9: $i,SV5: $i] :
( ( ~ ( grandparent_THFTYPE_IiioI @ SV5 @ SV9 )
| ~ ( ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK2_Z @ SV9 @ SV5 ) )
| ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV9 @ SV5 ) @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV6: $i,SV2: $i] :
( ( ( ! [SY7: $i] :
( ~ ( parent_THFTYPE_IiioI @ SY7 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SY7 ) ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ( grandchild_THFTYPE_IiioI @ SV3 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV7 @ SV3 ) @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV7 @ ( sK1_Z @ SV7 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV8: $i,SV4: $i] :
( ( ( ! [SY8: $i] :
( ~ ( parent_THFTYPE_IiioI @ SV4 @ SY8 )
| ~ ( parent_THFTYPE_IiioI @ SY8 @ SV8 ) ) )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( grandparent_THFTYPE_IiioI @ SV5 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK2_Z @ SV9 @ SV5 ) )
| ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV9 @ SV5 ) @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV6: $i,SV2: $i,SV10: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV10 @ SV2 )
| ~ ( parent_THFTYPE_IiioI @ SV6 @ SV10 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV7: $i,SV3: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV7 )
= $false )
| ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV7 @ SV3 ) @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV7 @ ( sK1_Z @ SV7 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV8: $i,SV11: $i,SV4: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV4 @ SV11 )
| ~ ( parent_THFTYPE_IiioI @ SV11 @ SV8 ) )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV9: $i,SV5: $i] :
( ( ( grandparent_THFTYPE_IiioI @ SV5 @ SV9 )
= $false )
| ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK2_Z @ SV9 @ SV5 ) )
| ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV9 @ SV5 ) @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV6: $i,SV2: $i,SV10: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV10 @ SV2 ) )
= $true )
| ( ( ~ ( parent_THFTYPE_IiioI @ SV6 @ SV10 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV3: $i,SV7: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV7 @ SV3 ) @ SV3 )
| ~ ( parent_THFTYPE_IiioI @ SV7 @ ( sK1_Z @ SV7 @ SV3 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV8: $i,SV11: $i,SV4: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV4 @ SV11 ) )
= $true )
| ( ( ~ ( parent_THFTYPE_IiioI @ SV11 @ SV8 ) )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK2_Z @ SV9 @ SV5 ) )
| ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV9 @ SV5 ) @ SV9 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV5 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV6: $i,SV2: $i,SV10: $i] :
( ( ( parent_THFTYPE_IiioI @ SV10 @ SV2 )
= $false )
| ( ( ~ ( parent_THFTYPE_IiioI @ SV6 @ SV10 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV3: $i,SV7: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV7 @ SV3 ) @ SV3 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(50,plain,
! [SV3: $i,SV7: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV7 @ ( sK1_Z @ SV7 @ SV3 ) ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(51,plain,
! [SV8: $i,SV11: $i,SV4: $i] :
( ( ( parent_THFTYPE_IiioI @ SV4 @ SV11 )
= $false )
| ( ( ~ ( parent_THFTYPE_IiioI @ SV11 @ SV8 ) )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV5 @ ( sK2_Z @ SV9 @ SV5 ) ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV5 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(53,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV9 @ SV5 ) @ SV9 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV5 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(54,plain,
! [SV2: $i,SV10: $i,SV6: $i] :
( ( ( parent_THFTYPE_IiioI @ SV6 @ SV10 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV10 @ SV2 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV3: $i,SV7: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV7 @ SV3 ) @ SV3 )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV3: $i,SV7: $i] :
( ( ( parent_THFTYPE_IiioI @ SV7 @ ( sK1_Z @ SV7 @ SV3 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV3 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV4: $i,SV8: $i,SV11: $i] :
( ( ( parent_THFTYPE_IiioI @ SV11 @ SV8 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV4 @ SV11 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV4 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV9: $i,SV5: $i] :
( ( ( parent_THFTYPE_IiioI @ SV5 @ ( sK2_Z @ SV9 @ SV5 ) )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ SV5 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV5: $i,SV9: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV9 @ SV5 ) @ SV9 )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ SV5 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(60,plain,
! [SV12: $i] :
( ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [SX0: $i] : ( grandchild_THFTYPE_IiioI @ SX0 @ lJohn_THFTYPE_i ) )
@ SV12 )
= $false ),
inference(rename,[status(thm)],[19]) ).
thf(61,plain,
! [SV12: $i] :
( ( ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [SX0: $i] : ( grandchild_THFTYPE_IiioI @ SX0 @ lJohn_THFTYPE_i ) )
@ SV12 )
= ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
@ n3_THFTYPE_i ) )
= $false ),
inference(res,[status(thm)],[60,11]) ).
thf(62,plain,
( ( ( grandchild_THFTYPE_IiioI @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) )
= $true ) ),
inference(extuni,[status(esa)],[61:[bind(SV12,$thf( n3_THFTYPE_i ))]]) ).
thf(63,plain,
( ( ( grandchild_THFTYPE_IiioI @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) )
= $false ) ),
inference(extuni,[status(esa)],[61:[bind(SV12,$thf( n3_THFTYPE_i ))]]) ).
thf(64,plain,
( ( ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [SX0: $i] : ( grandchild_THFTYPE_IiioI @ SX0 @ lJohn_THFTYPE_i ) )
= ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [SX0: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[61:[bind(SV12,$thf( n3_THFTYPE_i ))]]) ).
thf(65,plain,
! [SV13: $i,SV14: $i,SV15: $i] :
( ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true ) ),
inference(rename,[status(thm)],[54]) ).
thf(73,plain,
! [SV16: $i,SV17: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV17 @ SV16 ) @ SV16 )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV16 @ SV17 )
= $false ) ),
inference(rename,[status(thm)],[55]) ).
thf(76,plain,
! [SV16: $i,SV17: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( grandchild_THFTYPE_IiioI @ SV16 @ SV17 )
= ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV17 @ SV16 ) @ SV16 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false ) ),
inference(res,[status(thm)],[73,65]) ).
thf(77,plain,
! [SV16: $i,SV17: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV17 @ SV16 ) @ SV16 )
= ( parent_THFTYPE_IiioI @ SV14 @ SV13 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV16 @ SV17 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true ) ),
inference(res,[status(thm)],[73,65]) ).
thf(78,plain,
! [SV16: $i,SV17: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV17 @ SV16 ) @ SV16 )
= ( parent_THFTYPE_IiioI @ SV15 @ SV14 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV16 @ SV17 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true ) ),
inference(res,[status(thm)],[73,65]) ).
thf(81,plain,
! [SV14: $i,SV17: $i,SV13: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV13 @ ( sK1_Z @ SV17 @ SV14 ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV14 @ SV17 )
= $false ) ),
inference(extuni,[status(esa)],[78:[bind(SV16,$thf( SV14 )),bind(SV15,$thf( sK1_Z @ SV17 @ SV14 ))]]) ).
thf(82,plain,
! [SV17: $i,SV15: $i,SV13: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV15 @ ( sK1_Z @ SV17 @ SV13 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV17 )
= $false ) ),
inference(extuni,[status(esa)],[77:[bind(SV16,$thf( SV13 )),bind(SV14,$thf( sK1_Z @ SV17 @ SV13 ))]]) ).
thf(83,plain,
! [SV15: $i,SV13: $i,SV14: $i] :
( ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV15 @ SV13 ) @ SV13 )
= $true ) ),
inference(extuni,[status(esa)],[76:[bind(SV17,$thf( SV15 )),bind(SV16,$thf( SV13 ))]]) ).
thf(84,plain,
! [SV18: $i,SV19: $i] :
( ( ( parent_THFTYPE_IiioI @ SV19 @ ( sK1_Z @ SV19 @ SV18 ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV19 )
= $false ) ),
inference(rename,[status(thm)],[56]) ).
thf(89,plain,
! [SV18: $i,SV19: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV19 )
= ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV19 @ ( sK1_Z @ SV19 @ SV18 ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false ) ),
inference(res,[status(thm)],[84,65]) ).
thf(90,plain,
! [SV18: $i,SV19: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV19 @ ( sK1_Z @ SV19 @ SV18 ) )
= ( parent_THFTYPE_IiioI @ SV14 @ SV13 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV19 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true ) ),
inference(res,[status(thm)],[84,65]) ).
thf(91,plain,
! [SV18: $i,SV19: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV19 @ ( sK1_Z @ SV19 @ SV18 ) )
= ( parent_THFTYPE_IiioI @ SV15 @ SV14 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV19 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true ) ),
inference(res,[status(thm)],[84,65]) ).
thf(94,plain,
! [SV18: $i,SV15: $i,SV13: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true )
| ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV15 @ SV18 ) @ SV13 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV15 )
= $false ) ),
inference(extuni,[status(esa)],[91:[bind(SV14,$thf( sK1_Z @ SV15 @ SV18 )),bind(SV19,$thf( SV15 ))]]) ).
thf(95,plain,
! [SV15: $i,SV18: $i,SV14: $i] :
( ( ( grandchild_THFTYPE_IiioI @ ( sK1_Z @ SV14 @ SV18 ) @ SV15 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[90:[bind(SV13,$thf( sK1_Z @ SV14 @ SV18 )),bind(SV19,$thf( SV14 ))]]) ).
thf(96,plain,
! [SV15: $i,SV13: $i,SV14: $i] :
( ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV15 @ ( sK1_Z @ SV15 @ SV13 ) )
= $true ) ),
inference(extuni,[status(esa)],[89:[bind(SV19,$thf( SV15 )),bind(SV18,$thf( SV13 ))]]) ).
thf(97,plain,
! [SV20: $i,SV21: $i,SV22: $i] :
( ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true ) ),
inference(rename,[status(thm)],[57]) ).
thf(103,plain,
! [SV20: $i,SV21: $i,SV22: $i,SV18: $i,SV19: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= ( parent_THFTYPE_IiioI @ SV19 @ ( sK1_Z @ SV19 @ SV18 ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV19 )
= $false ) ),
inference(res,[status(thm)],[97,84]) ).
thf(104,plain,
! [SV20: $i,SV21: $i,SV22: $i,SV18: $i,SV19: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= ( parent_THFTYPE_IiioI @ SV19 @ ( sK1_Z @ SV19 @ SV18 ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV19 )
= $false ) ),
inference(res,[status(thm)],[97,84]) ).
thf(106,plain,
! [SV20: $i,SV21: $i,SV22: $i,SV16: $i,SV17: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV17 @ SV16 ) @ SV16 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV16 @ SV17 )
= $false ) ),
inference(res,[status(thm)],[97,73]) ).
thf(107,plain,
! [SV20: $i,SV21: $i,SV22: $i,SV16: $i,SV17: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV17 @ SV16 ) @ SV16 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ SV16 @ SV17 )
= $false ) ),
inference(res,[status(thm)],[97,73]) ).
thf(115,plain,
! [SV20: $i,SV17: $i,SV16: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV16 @ SV17 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV16 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV20 @ ( sK1_Z @ SV17 @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[107:[bind(SV21,$thf( SV16 )),bind(SV22,$thf( sK1_Z @ SV17 @ SV16 ))]]) ).
thf(116,plain,
! [SV21: $i,SV17: $i,SV16: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV16 @ SV17 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ ( sK1_Z @ SV17 @ SV16 ) @ SV21 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV16 @ SV21 )
= $false ) ),
inference(extuni,[status(esa)],[106:[bind(SV22,$thf( SV16 )),bind(SV20,$thf( sK1_Z @ SV17 @ SV16 ))]]) ).
thf(117,plain,
! [SV20: $i,SV19: $i,SV18: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV19 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ ( sK1_Z @ SV19 @ SV18 ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV20 @ SV19 )
= $false ) ),
inference(extuni,[status(esa)],[104:[bind(SV21,$thf( sK1_Z @ SV19 @ SV18 )),bind(SV22,$thf( SV19 ))]]) ).
thf(118,plain,
! [SV21: $i,SV19: $i,SV18: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV18 @ SV19 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV19 @ SV21 )
= $true )
| ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV19 @ SV18 ) @ SV21 )
= $false ) ),
inference(extuni,[status(esa)],[103:[bind(SV22,$thf( sK1_Z @ SV19 @ SV18 )),bind(SV20,$thf( SV19 ))]]) ).
thf(119,plain,
! [SV23: $i,SV24: $i] :
( ( ( parent_THFTYPE_IiioI @ SV24 @ ( sK2_Z @ SV23 @ SV24 ) )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ SV24 @ SV23 )
= $false ) ),
inference(rename,[status(thm)],[58]) ).
thf(122,plain,
! [SV23: $i,SV24: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( grandparent_THFTYPE_IiioI @ SV24 @ SV23 )
= ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV24 @ ( sK2_Z @ SV23 @ SV24 ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false ) ),
inference(res,[status(thm)],[119,97]) ).
thf(123,plain,
! [SV23: $i,SV24: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV24 @ ( sK2_Z @ SV23 @ SV24 ) )
= ( parent_THFTYPE_IiioI @ SV20 @ SV22 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV24 @ SV23 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[119,97]) ).
thf(124,plain,
! [SV23: $i,SV24: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV24 @ ( sK2_Z @ SV23 @ SV24 ) )
= ( parent_THFTYPE_IiioI @ SV22 @ SV21 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV24 @ SV23 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[119,97]) ).
thf(130,plain,
! [SV23: $i,SV24: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV24 @ ( sK2_Z @ SV23 @ SV24 ) )
= ( parent_THFTYPE_IiioI @ SV14 @ SV13 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV24 @ SV23 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true ) ),
inference(res,[status(thm)],[119,65]) ).
thf(131,plain,
! [SV23: $i,SV24: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( parent_THFTYPE_IiioI @ SV24 @ ( sK2_Z @ SV23 @ SV24 ) )
= ( parent_THFTYPE_IiioI @ SV15 @ SV14 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV24 @ SV23 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true ) ),
inference(res,[status(thm)],[119,65]) ).
thf(134,plain,
! [SV23: $i,SV15: $i,SV13: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true )
| ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV23 @ SV15 ) @ SV13 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV15 @ SV23 )
= $false ) ),
inference(extuni,[status(esa)],[131:[bind(SV14,$thf( sK2_Z @ SV23 @ SV15 )),bind(SV24,$thf( SV15 ))]]) ).
thf(135,plain,
! [SV15: $i,SV14: $i,SV23: $i] :
( ( ( grandchild_THFTYPE_IiioI @ ( sK2_Z @ SV23 @ SV14 ) @ SV15 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV14 @ SV23 )
= $false ) ),
inference(extuni,[status(esa)],[130:[bind(SV13,$thf( sK2_Z @ SV23 @ SV14 )),bind(SV24,$thf( SV14 ))]]) ).
thf(136,plain,
! [SV22: $i,SV23: $i,SV20: $i] :
( ( ( grandparent_THFTYPE_IiioI @ SV20 @ ( sK2_Z @ SV23 @ SV22 ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV22 @ SV23 )
= $false ) ),
inference(extuni,[status(esa)],[124:[bind(SV21,$thf( sK2_Z @ SV23 @ SV22 )),bind(SV24,$thf( SV22 ))]]) ).
thf(137,plain,
! [SV23: $i,SV21: $i,SV20: $i] :
( ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true )
| ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV23 @ SV20 ) @ SV21 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV23 )
= $false ) ),
inference(extuni,[status(esa)],[123:[bind(SV22,$thf( sK2_Z @ SV23 @ SV20 )),bind(SV24,$thf( SV20 ))]]) ).
thf(138,plain,
! [SV21: $i,SV22: $i,SV20: $i] :
( ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV20 @ ( sK2_Z @ SV21 @ SV20 ) )
= $true ) ),
inference(extuni,[status(esa)],[122:[bind(SV23,$thf( SV21 )),bind(SV24,$thf( SV20 ))]]) ).
thf(139,plain,
! [SV25: $i,SV26: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV26 @ SV25 ) @ SV26 )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV26 )
= $false ) ),
inference(rename,[status(thm)],[59]) ).
thf(144,plain,
! [SV25: $i,SV26: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV26 )
= ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV26 @ SV25 ) @ SV26 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false ) ),
inference(res,[status(thm)],[139,97]) ).
thf(145,plain,
! [SV25: $i,SV26: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV26 @ SV25 ) @ SV26 )
= ( parent_THFTYPE_IiioI @ SV20 @ SV22 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV26 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[139,97]) ).
thf(146,plain,
! [SV25: $i,SV26: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV26 @ SV25 ) @ SV26 )
= ( parent_THFTYPE_IiioI @ SV22 @ SV21 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV26 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[139,97]) ).
thf(152,plain,
! [SV25: $i,SV26: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV26 @ SV25 ) @ SV26 )
= ( parent_THFTYPE_IiioI @ SV14 @ SV13 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV26 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV15 @ SV14 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true ) ),
inference(res,[status(thm)],[139,65]) ).
thf(153,plain,
! [SV25: $i,SV26: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV26 @ SV25 ) @ SV26 )
= ( parent_THFTYPE_IiioI @ SV15 @ SV14 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV26 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true ) ),
inference(res,[status(thm)],[139,65]) ).
thf(156,plain,
! [SV25: $i,SV14: $i,SV13: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV13 @ ( sK2_Z @ SV14 @ SV25 ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV14 @ SV13 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV26,$thf( SV14 )),bind(SV15,$thf( sK2_Z @ SV14 @ SV25 ))]]) ).
thf(157,plain,
! [SV25: $i,SV15: $i,SV13: $i] :
( ( ( grandchild_THFTYPE_IiioI @ SV13 @ SV15 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV15 @ ( sK2_Z @ SV13 @ SV25 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV13 )
= $false ) ),
inference(extuni,[status(esa)],[152:[bind(SV26,$thf( SV13 )),bind(SV14,$thf( sK2_Z @ SV13 @ SV25 ))]]) ).
thf(158,plain,
! [SV25: $i,SV21: $i,SV20: $i] :
( ( ( grandparent_THFTYPE_IiioI @ SV20 @ SV21 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV20 @ ( sK2_Z @ SV21 @ SV25 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV21 )
= $false ) ),
inference(extuni,[status(esa)],[146:[bind(SV26,$thf( SV21 )),bind(SV22,$thf( sK2_Z @ SV21 @ SV25 ))]]) ).
thf(159,plain,
! [SV21: $i,SV25: $i,SV22: $i] :
( ( ( grandparent_THFTYPE_IiioI @ ( sK2_Z @ SV22 @ SV25 ) @ SV21 )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ SV25 @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[145:[bind(SV26,$thf( SV22 )),bind(SV20,$thf( sK2_Z @ SV22 @ SV25 ))]]) ).
thf(160,plain,
! [SV21: $i,SV22: $i,SV20: $i] :
( ( ( parent_THFTYPE_IiioI @ SV20 @ SV22 )
= $false )
| ( ( parent_THFTYPE_IiioI @ SV22 @ SV21 )
= $false )
| ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV21 @ SV20 ) @ SV21 )
= $true ) ),
inference(extuni,[status(esa)],[144:[bind(SV26,$thf( SV21 )),bind(SV25,$thf( SV20 ))]]) ).
thf(161,plain,
! [SV25: $i,SV26: $i] :
( ( ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) )
= ( grandparent_THFTYPE_IiioI @ SV25 @ SV26 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ SV26 @ SV25 ) @ SV26 )
= $true ) ),
inference(res,[status(thm)],[62,139]) ).
thf(163,plain,
! [SV23: $i,SV24: $i] :
( ( ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) )
= ( grandparent_THFTYPE_IiioI @ SV24 @ SV23 ) )
= $false )
| ( ( grandchild_THFTYPE_IiioI @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV24 @ ( sK2_Z @ SV23 @ SV24 ) )
= $true ) ),
inference(res,[status(thm)],[62,119]) ).
thf(170,plain,
! [SV18: $i,SV19: $i] :
( ( ( ( grandchild_THFTYPE_IiioI @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i )
= ( grandchild_THFTYPE_IiioI @ SV18 @ SV19 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ SV19 @ ( sK1_Z @ SV19 @ SV18 ) )
= $true ) ),
inference(res,[status(thm)],[62,84]) ).
thf(172,plain,
! [SV16: $i,SV17: $i] :
( ( ( ( grandchild_THFTYPE_IiioI @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i )
= ( grandchild_THFTYPE_IiioI @ SV16 @ SV17 ) )
= $false )
| ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ SV17 @ SV16 ) @ SV16 )
= $true ) ),
inference(res,[status(thm)],[62,73]) ).
thf(180,plain,
( ( ( parent_THFTYPE_IiioI @ ( sK1_Z @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) ) @ ( sK3_E @ n3_THFTYPE_i ) )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) )
= $true ) ),
inference(extuni,[status(esa)],[172:[bind(SV17,$thf( lJohn_THFTYPE_i )),bind(SV16,$thf( sK3_E @ n3_THFTYPE_i ))]]) ).
thf(181,plain,
( ( ( parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK1_Z @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) ) )
= $true )
| ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK3_E @ n3_THFTYPE_i ) )
= $true ) ),
inference(extuni,[status(esa)],[170:[bind(SV19,$thf( lJohn_THFTYPE_i )),bind(SV18,$thf( sK3_E @ n3_THFTYPE_i ))]]) ).
thf(182,plain,
( ( ( parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( sK2_Z @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[163:[bind(SV23,$thf( sK3_E @ n3_THFTYPE_i )),bind(SV24,$thf( lJohn_THFTYPE_i ))]]) ).
thf(183,plain,
( ( ( parent_THFTYPE_IiioI @ ( sK2_Z @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i ) @ ( sK3_E @ n3_THFTYPE_i ) )
= $true )
| ( ( grandchild_THFTYPE_IiioI @ ( sK3_E @ n3_THFTYPE_i ) @ lJohn_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[161:[bind(SV26,$thf( sK3_E @ n3_THFTYPE_i )),bind(SV25,$thf( lJohn_THFTYPE_i ))]]) ).
thf(184,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,183,182,181,180,160,159,158,157,156,139,138,137,136,135,134,119,118,117,116,115,97,96,95,94,84,83,82,81,73,65,64,63,62,60]) ).
thf(185,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : CSR150^1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 20:10:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 3
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: true
% 0.13/0.34 (rf:0,axioms:3,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full).......
% 1.32/1.52
% 1.32/1.52 ********************************
% 1.32/1.52 * All subproblems solved! *
% 1.32/1.52 ********************************
% 1.32/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:184,loop_count:10,foatp_calls:2,translation:fof_full)
% 1.35/1.53
% 1.35/1.53 %**** Beginning of derivation protocol ****
% 1.35/1.53 % SZS output start CNFRefutation
% See solution above
% 1.35/1.53
% 1.35/1.53 %**** End of derivation protocol ****
% 1.35/1.53 %**** no. of clauses in derivation: 120 ****
% 1.35/1.53 %**** clause counter: 184 ****
% 1.35/1.53
% 1.35/1.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:184,loop_count:10,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------